Stability Analysis of a Rotating Flow toward a Shrinking Permeable Surface in Nanofluid
DOI:
https://doi.org/10.22452/mjs.sp2019no1.2Keywords:
Dual solutions, nanofluid, rotating flow, shrinking sheet, stability analysisAbstract
The rotating boundary layer flow over a shrinking permeable surface in nanofluid is numerically studied. Appropriate transformations are utilized to convert the partial differential equations into nonlinear ordinary differential equations. Later, these equations are determined by using the implemented package, called bvp4c through MATLAB software. The numerical results reveal that there is more than one solution called dual solutions obtained for a certain region of the rotation and suction parameters. A stability analysis has been done to identify a stable solution that relies on the sign of the eigenvalues obtained. Based on this analysis, the upper branch solutions indicate a stable solution, while the lower branch solutions indicate an unstable solution.
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